Family Information
| Genus: | $12$ |
| Quotient genus: | $0$ |
| Group name: | $C_2\times C_{26}$ |
| Group identifier: | $[52,5]$ |
| Signature: | $[ 0; 2, 26, 26 ]$ |
| Conjugacy classes for this refined passport: | $2, 33, 48$ |
The full automorphism group for this family is $C_{13}:D_4$ with signature $[ 0; 2, 4, 26 ]$.
| Jacobian variety group algebra decomposition: | $A_{6}\times A_{6}$ |
| Corresponding character(s): | $7, 8$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
12.52-5.0.2-26-26.5.1
| (1,14) (2,15) (3,16) (4,17) (5,18) (6,19) (7,20) (8,21) (9,22) (10,23) (11,24) (12,25) (13,26) (27,40) (28,41) (29,42) (30,43) (31,44) (32,45) (33,46) (34,47) (35,48) (36,49) (37,50) (38,51) (39,52) | |
| (1,36,6,28,11,33,3,38,8,30,13,35,5,27,10,32,2,37,7,29,12,34,4,39,9,31) (14,49,19,41,24,46,16,51,21,43,26,48,18,40,23,45,15,50,20,42,25,47,17,52,22,44) | |
| (1,44,9,52,4,47,12,42,7,50,2,45,10,40,5,48,13,43,8,51,3,46,11,41,6,49) (14,31,22,39,17,34,25,29,20,37,15,32,23,27,18,35,26,30,21,38,16,33,24,28,19,36) |